Global Small Solution to the 2D MHD System with a Velocity Damping Term

نویسندگان

  • Jiahong Wu
  • Yifei Wu
  • Xiaojing Xu
چکیده

This paper studies the global well-posedness of the incompressible magnetohydrodynamic (MHD) system with a velocity damping term. We establish the global existence and uniqueness of smooth solutions when the initial data is close to an equilibrium state. In addition, explicit large-time decay rates for various Sobolev norms of the solutions are also given.

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عنوان ژورنال:
  • SIAM J. Math. Analysis

دوره 47  شماره 

صفحات  -

تاریخ انتشار 2015